Let's divide 948739 by 13
Our goal is to divide 948739 by 13.

On to step 1:
When dividing 9 by 13, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 13

On to step 2:
13 goes into 94 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 91 from 94, we get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 13

Step 3:
38 divided by 13 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 72.0
If we subtract 26 from 38, we get 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 13

Going ahead to step 4:
If we divide 127 by 13, we get 9 and a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 729.0
Subtracting 117 from 127 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 13

Going ahead to step 5:
103 divided by 13 is 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 7297.0
If we subtract 91 from 103, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 13

Going ahead to step 6:
When dividing 129 by 13, we get 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 72979.0
Deduct 117 from 129 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 72979.9
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 72979.92
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 72979.923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 72979.923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 72979.92307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 72979.923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 72979.9230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 72979.92307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 72979.92307692 with a remaining 4e-09.